34294896688932 has 576 divisors, whose sum is σ = 100146194104320. Its totient is φ = 9802714521600.

The previous prime is 34294896688931. The next prime is 34294896688961. The reversal of 34294896688932 is 23988669849243.

It is a happy number.

34294896688932 is a `hidden beast` number, since 3 + 4 + 29 + 489 + 6 + 6 + 8 + 89 + 32 = 666.

It is a super-2 number, since 2×34294896688932² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34294896688931) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39924209919 + ... + 39924210777.

It is an arithmetic number, because the mean of its divisors is an integer number (173864920320).

Almost surely, 2^{34294896688932} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34294896688932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50073097052160).

34294896688932 is an abundant number, since it is smaller than the sum of its proper divisors (65851297415388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34294896688932 is a wasteful number, since it uses less digits than its factorization.

34294896688932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1539 counting only the distinct ones).

The product of its digits is 7739670528, while the sum is 81.

The spelling of 34294896688932 in words is "thirty-four trillion, two hundred ninety-four billion, eight hundred ninety-six million, six hundred eighty-eight thousand, nine hundred thirty-two".